BOSTON -- More often than not, Danny Santana's all-out playing style is a blessing for the Twins.

Monday night's 1-0 loss at Fenway Park brought a reminder of the downside of all that hustle.

Moments after Santana lined a third-inning single to center for the first hit off Boston Red Sox right-hander Rubby De La Rosa (2-2), the Twins' rookie speedster was caught rounding first base too aggressively.

That caused Sam Fuld, who was held up rounding third, to be caught in a rundown that short-circuited one of the visitors' few legitimate scoring chances.

"Danny just screwed up," Twins manager Ron Gardenhire said. "It's not anything about the other guy (Fuld). He's got to make sure."

Santana made it all the way to third on the play, but Brian Dozier grounded to second to end the inning and give De La Rosa a boost. From there, the little-seen right-hander retired the final 13 batters he faced in seven shutout innings on a cool, 106-pitch evening.

"Danny's fast. He can outrun a lot of mistakes," Gardenhire said. "This one, he ran himself into a mistake. It happens in the game. Their guy did a nice job hitting the cutoff man. They made a play."

Once he returned to the dugout, Santana told the coaching staff he thought the throw from center fielder Jackie Bradley Jr. was too high for first baseman Mike Napoli to intercept.

"In that situation, your job is to make sure," Gardenhire said.

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"Come around the bag, pick up the ball, look at the cutoff man. That's a big play. Danny just can't get caught off the base like that."

Third-base coach Joe Vavra was correct in holding up Fuld, Gardenhire reasoned, because Fuld hesitated just a bit as he waited to make sure the ball dropped in front of Bradley.

"I think they could have relayed the ball and got him out at home," Gardenhire said.

Monday's loss marked the fourth time the Twins have been shut out and the first time since a 1-0 home loss to Texas on May 28.

Boston's Rubby De La Rosa pitches during the first inning. (AP Photo/Michael Dwyer)

That was their only other 1-0 loss this season.

A sacrifice fly by ex-Twin A.J. Pierzynski broke up Monday's scoreless duel in the fifth inning.

The three hits for the Twins tied their low-hit game for the season. Oakland also beat them on three hits on April 10, a 6-1 loss at Target Field.

For the Red Sox, it was their first 1-0 win at home in more than three years: May 18, 2011 against the Detroit Tigers.

De La Rosa surrendered three walks his first time through the lineup, but he soon found his groove behind a 98-mph fastball and mid-80s changeup that had the Twins off balance all night.

Three Red Sox relievers made it stand up, although the Twins loaded the bases against Boston right-hander Burke Badenhop in the eighth.

Kevin Correia talks after holding the Red Sox to one run over six innings.

Dozier quickly fell behind 0-2, fouled off a couple of tough pitches and foul tipped a second straight slider from Badenhop to end the threat.

Twins starter Kevin Correia, meanwhile, turned in his second straight impressive start, building on the adjustments he made last week at Toronto. Correia (3-8) worked six innings of five-hit ball, lowering his earned-run average to 0.75 over his past two starts.

In five starts against the American League East this year, he is 2-2 with a 2.48 ERA.

In nine starts outside baseball's most rugged division, Correia is 1-6 with a 6.93 ERA.

"Kevin did an awesome job," Dozier said. "One-run losses, you look back and see a lot of opportunities to score at least one run. That's what's frustrating."

Not even Kendrys Morales could break through. For the first time in seven games since joining the Twins, the veteran designated hitter was held without a hit.

Morales also had an eight-game hitting streak against the Red Sox snapped. He had been hitting .514 (18 for 35) with three homers and 10 runs batted in during that streak.

Morales lined out to center off Boston closer Koji Uehara (15th save) to end the game. Morales had been 3 for 5 with a triple and a homer off Uehara.

"Normally it's Wall Ball, and you never know what's going to happen here," Gardenhire said of the famed Green Monster. "You're kind of wondering, 'How is this thing going to break open?' Somebody's going to throw up a five-spot somewhere because that wall is going to come into play, but it was good pitching."